In the sequence below, a 1 is followed by two 2's, three 3's, and so on, up to ten 10's. What is the average of the mean, mode, and median of the sequence? \(1, 2, 2, 3, 3, 3,..., 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 \)

The number of data values is [ 10 * 11] / 2 = 110/2 = 55

The mean is

[1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2 + 7^2 + + 8^2 + 9^2 + 10^2] / 55 = 7

The mode is the data value that appears most often = 10

The median is also 7